Alsoooo since we were discussing presents above yeah there is the lure, then there is the ribbon as well. But memories, the high fives, those all stick with Ash. He doesn't need a gift from Dawn to remember her, he will always remember her, when he uses Buizel
or uses the moves he learned from her. Dawn has impacted Ash's life in so many good ways. Their bond is indeed a closer one than any others. Not to mention she was the one who saved Ash's Pikachu in the beginning so that also sticks with Ash and Pikachu has he a close bond with her as well.